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Meaning of "asymptotic" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF ASYMPTOTIC

asymptotic  [ˌæsɪmˈtɒtɪk] play
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GRAMMATICAL CATEGORY OF ASYMPTOTIC

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Asymptotic is an adjective.
The adjective is the word that accompanies the noun to determine or qualify it.

WHAT DOES ASYMPTOTIC MEAN IN ENGLISH?

Asymptote

In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity. Some sources include the requirement that the curve may not cross the line infinitely often, but this is unusual for modern authors. In some contexts, such as algebraic geometry, an asymptote is defined as a line which is tangent to a curve at infinity. The word asymptote is derived from the Greek ἀσύμπτωτος which means "not falling together," from ἀ priv. + σύν "together" + πτωτ-ός "fallen." The term was introduced by Apollonius of Perga in his work on conic sections, but in contrast to its modern meaning, he used it to mean any line that does not intersect the given curve. There are potentially three kinds of asymptotes: horizontal, vertical and oblique asymptotes. For curves given by the graph of a function y = ƒ, horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to +∞ or −∞. Vertical asymptotes are vertical lines near which the function grows without bound.

Definition of asymptotic in the English dictionary

The definition of asymptotic in the dictionary is of or referring to an asymptote. Other definition of asymptotic is approaching a given value or condition, as a variable or an expression containing a variable approaches a limit, usually infinity.

WORDS THAT RHYME WITH ASYMPTOTIC


amitotic
ˌæmɪˈtɒtɪk
antimitotic
ˌæntɪmaɪˈtɒtɪk
apoptotic
ˌæpəpˈtɒtɪk
aptotic
æpˈtɒtɪk
endocytotic
ˌendəʊsaɪˈtɒtɪk
endomitotic
ˌɛndəʊmaɪˈtɒtɪk
enphytotic
ˌɛnfaɪˈtɒtɪk
epiphytotic
ˌɛpɪfaɪˈtɒtɪk
exocytotic
ˌɛksəʊsaɪˈtɒtɪk
hyperkeratotic
ˌhaɪpəˌkɛrəˈtɒtɪk
keratotic
ˌkɛrəˈtɒtɪk
ketotic
ˌkiːˈtɒtɪk
leucocytotic
ˌluːkəʊsaɪˈtɒtɪk
litotic
laɪˈtɒtɪk
lymphocytotic
ˌlɪmfəʊsaɪˈtɒtɪk
mitotic
maɪˈtɒtɪk
phagocytotic
ˌfæɡəsaɪˈtɒtɪk
pinocytotic
ˌpaɪnəʊsaɪˈtɒtɪk
ptotic
ˈtɒtɪk
symptotic
sɪmˈtɒtɪk

WORDS THAT BEGIN LIKE ASYMPTOTIC

asymmetric
asymmetric bars
asymmetric time
asymmetric warfare
asymmetrical
asymmetrical bars
asymmetrical warfare
asymmetrically
asymmetry
asymptomatic
asymptomatically
asymptote
asymptotical
asymptotically
asynapsis
asynartete
asynartetic
asynchronism
asynchronous
asynchronously

WORDS THAT END LIKE ASYMPTOTIC

antibiotic
athetotic
biotic
chaotic
entotic
erotic
eukaryotic
exotic
halitotic
hyperostotic
hypnotic
intermitotic
narcotic
orthotic
osmotic
otic
patriotic
psychotic
robotic
Thanatotic

Synonyms and antonyms of asymptotic in the English dictionary of synonyms

SYNONYMS

Translation of «asymptotic» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF ASYMPTOTIC

Find out the translation of asymptotic to 25 languages with our English multilingual translator.
The translations of asymptotic from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «asymptotic» in English.

Translator English - Chinese

渐近
1,325 millions of speakers

Translator English - Spanish

asintótica
570 millions of speakers

English

asymptotic
510 millions of speakers

Translator English - Hindi

asymptotic
380 millions of speakers
ar

Translator English - Arabic

مقارب
280 millions of speakers

Translator English - Russian

асимптотическая
278 millions of speakers

Translator English - Portuguese

assintótica
270 millions of speakers

Translator English - Bengali

মধ্যে asymptotic
260 millions of speakers

Translator English - French

asymptotique
220 millions of speakers

Translator English - Malay

Asimtotik
190 millions of speakers

Translator English - German

asymptotisch
180 millions of speakers

Translator English - Japanese

漸近的な
130 millions of speakers

Translator English - Korean

점근
85 millions of speakers

Translator English - Javanese

Asymptotic
85 millions of speakers
vi

Translator English - Vietnamese

tiệm cận
80 millions of speakers

Translator English - Tamil

எந்த அறிகுறியும்
75 millions of speakers

Translator English - Marathi

असंरक्षित
75 millions of speakers

Translator English - Turkish

asimptotik
70 millions of speakers

Translator English - Italian

asintotico
65 millions of speakers

Translator English - Polish

asymptotycznej
50 millions of speakers

Translator English - Ukrainian

асимптотическая
40 millions of speakers

Translator English - Romanian

asimptotic
30 millions of speakers
el

Translator English - Greek

ασυμπτωτική
15 millions of speakers
af

Translator English - Afrikaans

asimptotiese
14 millions of speakers
sv

Translator English - Swedish

asymptotisk
10 millions of speakers
no

Translator English - Norwegian

asymptotisk
5 millions of speakers

Trends of use of asymptotic

TRENDS

TENDENCIES OF USE OF THE TERM «ASYMPTOTIC»

The term «asymptotic» is quite widely used and occupies the 35.006 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Quite widely used
84
/100
The map shown above gives the frequency of use of the term «asymptotic» in the different countries.
Principal search tendencies and common uses of asymptotic
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «asymptotic».

FREQUENCY OF USE OF THE TERM «ASYMPTOTIC» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «asymptotic» during the past 500 years. Its implementation is based on analysing how often the term «asymptotic» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about asymptotic

EXAMPLES

10 ENGLISH BOOKS RELATING TO «ASYMPTOTIC»

Discover the use of asymptotic in the following bibliographical selection. Books relating to asymptotic and brief extracts from same to provide context of its use in English literature.
1
Applied Asymptotic Analysis
"The book is intended for a beginning graduate course on asymptotic analysis in applied mathematics and is aimed at students of pure and applied mathematics as well as science and engineering.
Peter David Miller
2
Asymptotic Expansions for Ordinary Differential Equations
In this outstanding text, the first book devoted exclusively to the subject, the author concentrates on the mathematical ideas underlying the various asymptotic methods; however, asymptotic methods for differential equations are included ...
Wolfgang Wasow, 2002
3
Asymptotic Theory of Statistics and Probability
Encyclopedic treatment of classic as well as contemporary large sample theory, dealing with both statistical problems and probabilistic issues and tools.
Anirban DasGupta, 2008
4
Asymptotic Statistics
A mathematically rigorous, practical introduction presenting standard topics plus research.
A. W. van der Vaart, 2000
5
Asymptotic Expansions
Various methods for asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic expansion.
A. Erdélyi, 1956
6
Asymptotic Expansions
Asymptotic representation of a function os of great importance in many branches of pure and applied mathematics.
E. T. Copson, Edward Thomas Copson, 1965
7
Asymptotic Analysis of Differential Equations
"This is a useful volume in which a wide selection of asymptotic techniques is clearly presented in a form suitable for both applied mathematicians and Physicists who require an introduction to asymptotic techniques." --Book Jacket.
R. B. White, 2010
8
Asymptotic Giant Branch Stars
This book deals with stars during a short episode before they undergo a ma jor, and fatal, transition.
Harm J. Habing, Hans Olofsson, 2004
9
Advanced Mathematical Methods for Scientists and Engineers ...
This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations.
Carl M. Bender, Steven A. Orszag, 1999
10
Geometrical Foundations of Asymptotic Inference
Beginning with an elementary treatment of one-parameter statistical models and ending with an overview of recent developments, this is the first book to provide an introduction to the subject that is largely accessible to readers not ...
Robert E. Kass, Paul W. Vos, 2011

10 NEWS ITEMS WHICH INCLUDE THE TERM «ASYMPTOTIC»

Find out what the national and international press are talking about and how the term asymptotic is used in the context of the following news items.
1
“Physics is always a gamble”
He was awarded the Nobel Prize in Physics, along with Frank Wilczek and David Politzer, in 2004, for the discovery of asymptotic freedom, ... «The Hindu, Jul 15»
2
A comparison of genomic selection models across time in interior …
This result corresponds well to the asymptotic relationship between marker density and PA derived by Grattapaglia and Resende (2011) who ... «Nature.com, Jul 15»
3
Big Phone's Machine Intelligence
I love the structure of techno as a sort of asymptotic thing to strive for." Big Phone's music has also been influenced by his trips to Peru and ... «TheStranger.com, Jun 15»
4
NOAA Issues Stock Status Determination for Smooth Dogfish Shark …
Two selectivity patterns were explored for the main targeted gillnet fishery (dome-shaped and asymptotic). The use of these two selectivity ... «Targeted News Service, Jun 15»
5
Many with early breast cancer have too many imaging tests
“The extensive evidence tells us that for women with asymptotic early stage breast cancer, the chance of seeing metastases is so low that the ... «PhillyVoice.com, Jun 15»
6
Large-Eddy Simulation and Single-Column Modeling of Thermally …
Effects of atmospheric thermal stratification on the asymptotic behavior of very large wind farms are studied using large-eddy simulations (LES) ... «RenewablesBiz, Jun 15»
7
NOAA Issues Notice on Petition to List Bottlenose Dolphins as …
Asymptotic total length in adult bottlenose dolphins in Doubtful Sound is predicted to reach at least 3.2 m (Chong and Schneider 2001). Sexual ... «Targeted News Service, Jun 15»
8
Fiber guiding at the Dirac frequency beyond photonic bandgaps
This result coincides precisely with the asymptotic algebraic spatial profile exhibited by Figure 3c, thus verifying the mathematical model of the ... «Nature.com, Jun 15»
9
Meshes and Scenes
In general, these spatial subdivision techniques all have the same asymptotic traversal complexity of O(log n) where n is the total number of ... «GameDev.net, Jun 15»
10
Mercom Forecasts 2015 Global Solar Installations To Reach 57.4 GW
asymptotic”? What does that mean in this context? Logarithmic decay? Ok, sure, it kind of looks like it but it would be nice to understand ... «CleanTechnica, Jun 15»

REFERENCE
« EDUCALINGO. Asymptotic [online]. Available <https://educalingo.com/en/dic-en/asymptotic>. Apr 2024 ».
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